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Finding the Fourth Proportional to 466.98, 645.03 and 425.58

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Solution

The fourth proportional to 466.98, 645.03 and 425.58 is: 587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.98 : 645.03 = 425.58 : x
  2. Step 2: Convert to fraction form
    466.98/645.03 = 425.58/x
  3. Step 3: Cross multiply
    466.98x = 645.03 × 425.58
  4. Step 4: Simplify right side
    466.98x = 274,511.87
  5. Step 5: Solve for x
    x = 274,511.87/466.98
  6. Step 6: Final answer
    x = 587.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.